Metric analysis as a tool for interpolating multivariate functions in the case of an information lack

In report the ill-posed problems in view arising at the solution of applied problems by means of the metric analysis are considered. In the report new schemes and algorithms for smoothing and restoration based on the metric analysis were presented. These schemes and algorithms have demonstrated a high accuracy of smoothing and retrieving the values of functions of one or many variables. Examples of such problems are problems of interpolation, filtration and forecasting of values of functions of one and many variables claimed at the solution of applied problems physicists, technicians, economy and other areas of researches. © Springer International Publishing AG 2016.